Schur congruences, Carlitz sequences of polynomials and automaticity

نویسندگان

  • Jean-Paul Allouche
  • Guentcho Skordev
چکیده

We rst generalize the Schur congruence for Legendre polynomials to sequences of polyno-mials that we call \d-Carlitz". This notion is more general than a similar notion introduced by Carlitz. Then, we study automaticity properties of double sequences generated by these sequences of polynomials, thus generalizing previous results on double sequences produced by one-dimensional linear cellular automata.

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عنوان ژورنال:
  • Discrete Mathematics

دوره 214  شماره 

صفحات  -

تاریخ انتشار 2000